113011103200 has 144 divisors (see below), whose sum is σ = 291148709040. Its totient is φ = 42716160000.

The previous prime is 113011103171. The next prime is 113011103203. The reversal of 113011103200 is 2301110311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113011103203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6085930 + ... + 6104470.

It is an arithmetic number, because the mean of its divisors is an integer number (2021866035).

Almost surely, 2^113011103200 is an apocalyptic number.

113011103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113011103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145574354520).

113011103200 is an abundant number, since it is smaller than the sum of its proper divisors (178137605840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113011103200 is a wasteful number, since it uses less digits than its factorization.

113011103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18981 (or 18968 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 113011103200 its reverse (2301110311), we get a palindrome (115312213511).

The spelling of 113011103200 in words is "one hundred thirteen billion, eleven million, one hundred three thousand, two hundred".